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Finding the Fourth Proportional to 24,924.25, 34,394.25 and 14,852.47

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Solution

The fourth proportional to 24,924.25, 34,394.25 and 14,852.47 is: 20,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924.25 : 34,394.25 = 14,852.47 : x
  2. Step 2: Convert to fraction form
    24,924.25/34,394.25 = 14,852.47/x
  3. Step 3: Cross multiply
    24,924.25x = 34,394.25 × 14,852.47
  4. Step 4: Simplify right side
    24,924.25x = 510,839,320.06
  5. Step 5: Solve for x
    x = 510,839,320.06/24,924.25
  6. Step 6: Final answer
    x = 20,495.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.